3 years ago

Write a real world problem that can be represented by the expression 5x + 10

1 answer:

7 0

The initial fee for a gym membership is $10 and for each month of the membership it costs $5. Jem has been going to the gym for 8 months, what is the total cost?

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Find the expansion of cos x about the point x=0

ycow [4]

Answer:

Cos x = 1 - $\frac{x^2}{2!}$ + $\frac{x^4}{4!}$ - $\frac{x^6}{1!}$ + ...

Step-by-step explanation:

We use Taylor series expansion to answer this question.

We have to find the expansion of cos x at x = 0

f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x

Now we evaluate them at x = 0.

f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1

Now, by Taylor series expansion we have

f(x) = f(a) + f'(a)(x-a) + $\frac{f''(a)(x-a)^2}{2!}$ + $\frac{f'''(a)(x-a)^3}{3!}$ + $\frac{f''''(a)(x-a)^4}{4!}$ + ...

Putting a = 0 and all the values from above in the expansion, we get,

Cos x = 1 - $\frac{x^2}{2!}$ + $\frac{x^4}{4!}$ - $\frac{x^6}{1!}$ + ...

8 0

3 years ago

Percents can be expressed as fractions and decimals. A percent means “out of 100,” so we can express 40% as the fraction 40⁄100.

stiks02 [169]

Answer:

Definitely 3/4!

Step-by-step explanation:

Option A = 7.5

Option B = 66.6%

Option C = 75% (because 25 times 4 is equal to 100%, so 25 times 3 would be 75)

Option D = 6/10 or 60%

5 0

3 years ago

If you sum the numbers from 1 to 36, the sum is ?

Snowcat [4.5K]

I got 665 but I was typing pretty fast so sorry if it’s not right. That is if you mean add every number together like 1+2+3+4.....

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3 years ago

Which of the following angles is corresponding with ∠5? 2 4 7 8

aleksandr82 [10.1K]

Angle 7. Hope it helps!

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4 years ago

Read 2 more answers

A recipe used 3/4 cup of butter for every 1 2/3 cup of flour. What is the unit rate of cups of butter per cup of flour? *

brilliants [131]

Answer:1/6

Step-by-step explanation:

3 0

3 years ago